Linear operators for discretizations of differential equations and scientific machine learning (SciML)
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Jun 15, 2023 - Julia
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Linear operators for discretizations of differential equations and scientific machine learning (SciML)
ExaDG - High-Order Discontinuous Galerkin for the Exa-Scale
Modular and scalable computational imaging in Python with GPU/out-of-core computing.
PyTorch implementation of the Hessian-free optimizer
Stability, bifurcation, and sensitivity analysis for Nek5000
MFMG is an open-source library implementing matrix-free multigrid methods.
Second-Order Methods in JAX
Source and reproducibility code for the paper 'No 3D Matrices: A Unified Tensor-Product View of Matrix-Free Cartesian PDE Solvers' (Bay & Yearick)
One matrix-free spectral primitive for an operator's whole spectral world — densities, moments, free convolution, pseudospectra, the Brown measure, dequantization diagnostics. Spans 18+ fields of math & physics. pip install resona
Matrix-free implementation of accelerated projected gradient descent for large-scale non-negative least-squares problems.
C++, R and Python package for the Synthetic MR imaging program symr. For the R and python programs, see the R and python branches respectively.
Fully implicit density-based solver for compressible viscous flows on unstructured meshes. The project focuses on matrix-free approaches to implicit solver implementation
Light-weight linear operators in JAX with plum-dispatch and without additional dependencies
Matrix-free linear operators for R. Define an operator by its action, compose it lazily, and carry capabilities together with the evidence behind them.
A library to build up lazily evaluated expressions of linear transforms for efficient scientific computing. To cite this Original Software Publication: https://www.sciencedirect.com/science/article/pii/S2352711022000218
Practical session on implementing probabilistic linear solvers at the Probabilistic Numerics Spring School 2024
Experimental research repository for NRII and solver-relay architectures. Not currently ready for practical or production use; extensive engineering validation, robustness testing, and reproducibility work are ongoing.
Jeremy L Thompson PhD dissertation
Iterative matrix-free eigensolver (Davidson-Liu algorithm) with ndarray
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